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441506131 = 1128394349
BaseRepresentation
bin11010010100001…
…101100101010011
31010202202211112221
4122110031211103
51401011144011
6111451001511
713640511613
oct3224154523
91122684487
10441506131
11207245100
12103a39297
1370614841
14428caa43
1528b61971
hex1a50d953

441506131 has 12 divisors (see below), whose sum is σ = 485982000. Its totient is φ = 400798640.

The previous prime is 441506077. The next prime is 441506159. The reversal of 441506131 is 131605144.

It is not a de Polignac number, because 441506131 - 219 = 440981843 is a prime.

It is a super-2 number, since 2×4415061312 = 389855327421178322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 441506096 and 441506105.

It is not an unprimeable number, because it can be changed into a prime (441506231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99345 + ... + 103693.

It is an arithmetic number, because the mean of its divisors is an integer number (40498500).

Almost surely, 2441506131 is an apocalyptic number.

441506131 is a deficient number, since it is larger than the sum of its proper divisors (44475869).

441506131 is a wasteful number, since it uses less digits than its factorization.

441506131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 441506131 is about 21012.0472824520. The cubic root of 441506131 is about 761.4573439081.

The spelling of 441506131 in words is "four hundred forty-one million, five hundred six thousand, one hundred thirty-one".

Divisors: 1 11 121 839 4349 9229 47839 101519 526229 3648811 40136921 441506131